Home
Class 12
PHYSICS
At the start of a motion along a line th...

At the start of a motion along a line the initial velocity is u and acceleration is at. The final velocity v after time t, is

A

`v=u+at`

B

`v=u+at^(2)`

C

`v=u+(1)/(2)at^(2)`

D

`v=at^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
given, initial velocity, u=u
acceleration a=at
`therefore`Final velocity is `v=u+at=u+(at)xxt=u+at^(2)`.
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

.A body moving with some initial velocity and having uniform acceleration attains a final velocity vm/s after travelling xm .If its final velocity is v = √180−7x , ,find the acceleration of the body

If a particle starts moving with initial velocity u=1ms^-1 and acceleration a=2ms^-2 , the veloctiy of the particle at any time is given by v=u+at=1+2t . Plot the velocity-time graph of the particle.

Knowledge Check

  • At the start of a motion along a line the initial velocity is u and acceleration is at. The final velocity v after timet, is

    A
    v = u + at
    B
    `v = u + a t^(2)`
    C
    `v = u + (1)/(2) a t^(2)`
    D
    `v = a t^(2)`

  • At the start of a motion along a line the initial velocity is u and acceleration is at. The final velocity vafter time t, is

    A
    `v= u + at`
    B
    `v = u + at^(2)`
    C
    `v = u +(1)/(2) at^(2)`
    D
    `v = at^(2)`

  • A body moving with some initial velocity and having uniform acceleration attains a final velocity v m/s after travelling x m. If its final velocity is v = sqrt (180 - 7x) , find the acceleration of the body.

    A
    `- 3.5 m//s^(2)`
    B
    `-7m//s^(2)`
    C
    `-15 m//s^(2)`
    D
    `-30 m//s^(2)`

    • Similar Questions

    Explore conceptually related problems

    A particle moves rectilinearly with initial velocity u and constant acceleration a. Find the average velocity of the particle in a time interval from t=0 to t=t second of its motion.

    A particle is moving in a straight line with initial velocity u and uniform acceleration f . If the sum of the distances travelled in t^(th) and (t + 1)^(th) seconds is 100 cm , then its velocity after t seconds, in cm//s , is.

    A particle of mass m is moving along the line y-b with constant acceleration a. The areal velocity of the position vector of the particle at time t is (u=0)

    An object is moving with uniform acceleration a. Its initial velocity is u and after time t its velocity is v. The equation of its motion is v = u + at. The velocity (along y-axis) time (along x-axis) graph shall be a straight line

    Identify the correct graph represeriting the motion of a particle along a straight line With constant acceleration with zero initial velocity.

    Home
    Profile